# Conceptual portion of Relativistic Jets Problem

1. Apr 22, 2013

1. The full problem statement, all variables and given/known data

The problem can be found here if any of my description is lacking.

I have solved successfully part a), most of b), and c) for the problem, but part d) asks:

2. Relevant equations

Through parts a-c), I have determined that the transverse velocity βT = $\frac{sin(theta)}{1-βcos(theta)}$ and that the angle which maximizes this equation is equal to β which is equal to v/c.

My answer to part c) is 2.96 x 108 m/s.

3. The attempt at a solution

b): I am unclear on how to do this portion of the problem, but I believe it to be a simple algebra step I am missing, so I do not expect help on this section.

c): Unless I am reading this question incorrectly, I believe that one can see if the jets are back to back and their true velocities are equivalent that the angle θ (angle from observer's plane t and the jet's actual velocity) must be equal by simple geometry. Is this assumption naive? Or do I need to draw a triangle similarly to how I did in part a) and solving for the velocity as I did throughout the problem parts above?

Thanks for your help, it is greatly appreciated!